18198511056 has 560 divisors, whose sum is σ = 61379732160. Its totient is φ = 5173217280.

The previous prime is 18198510949. The next prime is 18198511057. The reversal of 18198511056 is 65011589181.

18198511056 is a `hidden beast` number, since 1 + 81 + 9 + 8 + 511 + 0 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18198511057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 249294636 + ... + 249294708.

Almost surely, 2^18198511056 is an apocalyptic number.

18198511056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18198511056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30689866080).

18198511056 is an abundant number, since it is smaller than the sum of its proper divisors (43181221104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18198511056 is a wasteful number, since it uses less digits than its factorization.

18198511056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 45.

The spelling of 18198511056 in words is "eighteen billion, one hundred ninety-eight million, five hundred eleven thousand, fifty-six".